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Bivariate non-central negative binomial distribution: Another generalisation - MaRDI portal

Bivariate non-central negative binomial distribution: Another generalisation (Q1081245)

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scientific article; zbMATH DE number 3969906
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Bivariate non-central negative binomial distribution: Another generalisation
scientific article; zbMATH DE number 3969906

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    Bivariate non-central negative binomial distribution: Another generalisation (English)
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    1986
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    This is a sequel of the paper reviewed above, Zbl 0601.62067, in the sense that it defines a fifth bivariate generalization of the non-central negative binomial distribution. This generalization is constructed as a latent structure model, as an extension of an accident proneness model and as a reversible stochastic counter model. Here, also, probabilities, moments, recurrence formulae, properties and an application of the distribution are given.
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    compound correlated bivariate Poisson distribution
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    Gegenbauer distribution
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    estimation
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    bivariate generalization of the non-central negative binomial distribution
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    latent structure model
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    accident proneness model
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    reversible stochastic counter model
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    moments
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    recurrence formulae
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